# Logic From Russell To Church

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### Logic from Russell to Church

Author | : Dov M. Gabbay,John Woods |

Publsiher | : Elsevier |

Total Pages | : 1068 |

Release | : 2009-06-16 |

Genre | : Mathematics |

ISBN | : 9780080885476 |

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This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

### Handbook of the History of Logic The rise of modern logic from Leibniz to Frege

Author | : Dov M. Gabbay,John Hayden Woods |

Publsiher | : Unknown |

Total Pages | : 0 |

Release | : 2004 |

Genre | : Logic |

ISBN | : LCCN:2004040424 |

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In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.

### Principia Mathematica

Author | : Alfred North Whitehead,Bertrand Russell |

Publsiher | : Cambridge University Press |

Total Pages | : 524 |

Release | : 1927 |

Genre | : Mathematics |

ISBN | : 052106791X |

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The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

### Proof in Alonzo Church s and Alan Turing s Mathematical Logic Undecidability of First Order Logic

Author | : Anonim |

Publsiher | : Universal-Publishers |

Total Pages | : 135 |

Release | : 2024 |

Genre | : Electronic Book |

ISBN | : 9781612339511 |

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### Introduction to Mathematical Logic

Author | : Alonzo Church |

Publsiher | : Unknown |

Total Pages | : 140 |

Release | : 1965 |

Genre | : Logic, Symbolic and mathematical |

ISBN | : WISC:89033910241 |

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### Introduction to Mathematical Logic

Author | : Alonzo Church |

Publsiher | : Princeton University Press |

Total Pages | : 396 |

Release | : 1996 |

Genre | : Mathematics |

ISBN | : 0691029067 |

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A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.

### Logic A History of its Central Concepts

Author | : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods |

Publsiher | : Newnes |

Total Pages | : 708 |

Release | : 2012-12-31 |

Genre | : Mathematics |

ISBN | : 9780080931708 |

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The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

### Introduction to Mathematical Logic Part 1

Author | : Alonzo Church,Clifford Ambrose Truesdell |

Publsiher | : Unknown |

Total Pages | : 0 |

Release | : 1965 |

Genre | : Logic, Symbolic and mathematical |

ISBN | : OCLC:64952285 |

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